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'''Introduction''' |
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<big>Moment of inertia is a measure of an object's resistance to changes to its rotation. It is the inertia of a rotating body with respect to its rotation. The moment of inertia plays much the same role in rotational dynamics as mass does in linear dynamics, describing the relationship between angular momentum and angular velocity, torque and angular acceleration, and several other quantities. |
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In mechanics of machines, when designing rotary parts like gears, pulleys, shafts, couplings etc, which are used to transmit torques the moment of inertia, have to be considered. The moment of inertia is given about an axis and it depends on the shape, density of a rotating element. |
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When considering mechanisms like gear trains, worm and wheel, where there are more than one rotating element, more than one axis of rotation, an equivalent moment of inertia for the system should be found. Practically when a geared system is enclosed, equivalent moment of inertia can be measured by measuring the angular acceleration for a known torque or theoretically it can be estimated when the masses and dimensions of the rotating elements and shafts are known. In this practical the equivalent moment of inertia of a worm and wheel system is measured using above mention methods. |
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The self locking conditon of the worm and wheel is the main advantage of it. |
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